Application of the radial basis function interpolation to phase extraction from a single electronic speckle pattern interferometric fringe

Gao Wang; Yang Jun Li; Han Chang Zhou

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Application of the radial basis function interpolation to phase extraction from a single electronic speckle pattern interferometric fringe

机译：径向基函数插值在单个电子散斑干涉图条纹相位提取中的应用

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In this paper, we introduce the radial basis function (RBF) interpolation method to electronic speckle pattern interferometry (ESPI) and propose the RBF interpolation method to obtain unwrapped phase values based on a skeleton map. Because of the excellent approximation properties of the RBF interpolation, the proposed method can extract accurate phase values from a single fringe pattern effectively, even using a simple 3 X 3 mean filter as preprocessing. Using our method, both special filtering methods for ESPI fringes as preprocessing and postprocessing, including a dilatation and erosion algorithm for pruning and connecting and the smooth algorithm for improving the phase values are not needed. We test our method on a computer-simulated and two experimentally obtained poor-quality fringe patterns. The results have demonstrated that our RBF interpolation method works well even under a seriously disconnected skeleton map where it is impossible to apply the widely used, Matlab function grid data interpolation or the backpropagation neural networks method [Appl. Opt. 46, 7475 (2007)].

机译：在本文中，我们将径向基函数（RBF）插值方法引入到电子散斑干涉（ESPI）中，并提出了RBF插值方法以基于骨架图获得未包裹的相位值。由于RBF插值的出色的近似特性，即使使用简单的3 X 3均值滤波器作为预处理，该方法也可以有效地从单个条纹图案中提取准确的相位值。使用我们的方法，既不需要用于ESPI条纹的特殊滤波方法，也可以进行预处理和后处理，包括用于修剪和连接的膨胀和腐蚀算法以及用于改善相位值的平滑算法。我们在计算机模拟和两个实验获得的劣质条纹图案上测试了我们的方法。结果表明，即使在严重断开的骨架图下，我们的RBF插值方法也能很好地工作，在这种情况下，无法应用广泛使用的Matlab函数网格数据插值或反向传播神经网络方法[Appl。选择。 46，7475（2007）]。

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《Applied optics》 |2011年第19期|共8页
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Gao Wang; Yang Jun Li; Han Chang Zhou;
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1. Application of the radial basis function interpolation to phase extraction from a single electronic speckle pattern interferometric fringe [J] . Gao Wang, Yang Jun Li, Han Chang Zhou Applied optics . 2011,第19期

机译：径向基函数插值在单个电子散斑干涉图条纹相位提取中的应用
2. The study and application of a new filtering method on electronic speckle pattern interferometric fringe [J] . Yuwen Qin, Jinlong Chen, Haibo Fan Optics and Lasers in Engineering . 2003,第4期

机译：一种电子散斑干涉条纹的新滤波方法的研究与应用
3. Vibration measurement based on electronic speckle pattern interferometry and radial basis function [J] . Dai Xiangjun, Shao Xinxing, Geng Zhencen, Optics Communications: A Journal Devoted to the Rapid Publication of Short Contributions in the Field of Optics and Interaction of Light with Matter . 2015,第Null期

机译：基于电子散斑干涉法和径向基函数的振动测量
4. A new approach of filtering on electronic speckle pattern interferometric fringe images [C] . Yuwen Qin, Haibo Fan, Jiabin Dai Intenational Conference on Experimental Mechanics . 2000

机译：电子散斑图案干涉条纹图像过滤的新方法
5. Approximation and interpolation employing divergence-free radial basis functions with applications. [D] . Lowitzsch, Svenja. 2002

机译：应用无散度径向基函数进行逼近和插值。
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机译：基于闭环正弦相位调制和Serrodyne反馈相位调制的SMF-28单模标准光纤上的去偏振干涉式光纤陀螺仪（IFOG）的理论设计用于战术和工业级应用
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Application of the radial basis function interpolation to phase extraction from a single electronic speckle pattern interferometric fringe

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